Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Riemannian_manifold symmetric space |
| gptkbp:dimensions |
2n
|
| gptkbp:has_boundary_at_infinity |
complex projective space of dimension n-1
|
| gptkbp:has_constant_holomorphic_sectional_curvature |
-1
|
| gptkbp:has_isometry_group |
PU(n,1)
|
| gptkbp:hasSpecialCase |
homogeneous space
rank one symmetric space space form space of constant negative curvature symmetric space of noncompact type |
| https://www.w3.org/2000/01/rdf-schema#label |
complex hyperbolic space
|
| gptkbp:is_a_model_of |
noncommutative geometry
|
| gptkbp:is_denoted |
ℍⁿ_ℂ
|
| gptkbp:is_homogeneous_under |
PU(n,1)
|
| gptkbp:is_the_quotient_of |
PU(n,1)/U(n)
|
| gptkbp:relatedTo |
quaternionic hyperbolic space
real hyperbolic space Cayley hyperbolic plane |
| gptkbp:type |
gptkb:Hermitian_symmetric_space
Kähler manifold hyperbolic space |
| gptkbp:used_in |
complex analysis
differential geometry geometric group theory mathematical physics complex hyperbolic geometry |
| gptkbp:bfsParent |
gptkb:Hermitian_symmetric_space
gptkb:symmetric_space_of_rank_one |
| gptkbp:bfsLayer |
8
|